101100121002100 has 864 divisors, whose sum is σ = 268699327142400. Its totient is φ = 32845459046400.

The previous prime is 101100121002059. The next prime is 101100121002107. The reversal of 101100121002100 is 1200121001101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100121002107) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 65267992126 + ... + 65267993674.

It is an arithmetic number, because the mean of its divisors is an integer number (310994591600).

Almost surely, 2^{101100121002100} is an apocalyptic number.

101100121002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101100121002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134349663571200).

101100121002100 is an abundant number, since it is smaller than the sum of its proper divisors (167599206140300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101100121002100 is a wasteful number, since it uses less digits than its factorization.

101100121002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101100121002100 its reverse (1200121001101), we get a palindrome (102300242003201).

Subtracting from 101100121002100 its reverse (1200121001101), we obtain a palindrome (99900000000999).

The spelling of 101100121002100 in words is "one hundred one trillion, one hundred billion, one hundred twenty-one million, two thousand, one hundred".